Webin the 13 state district civil courts, which handle such cases as medical malpractice and product liability, the backlog has crept up from 18,051 in 2018 to 20,150. Webhe says a backlog in criminal court cases is costing taxpayers and delaying justice for defendants at the frank crowley courts building, and price — along with. Webtexas is facing a backlog of over 142,000 criminal cases that could take many years for the texas courts to resolve. If left unaddressed, it could result in serious costs.